Line A is represented by the following equation: x + y = 2

Mathematics

1 answer:

stira [4]3 years ago

5 0

Step-by-step explanation:

Line A : x + y = 2

The most likely equation for line B so that the set of equation has no solution is:

x + y = 4

====

x + y = 2

x = 2 - y

2-y + y = 4

0 = 4 - 2

0 ≠ 2

there is no value for x nor y. so, no solution.

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Which equation is the inverse of 5 y + 4 = (x + 3) squared + one-half?

8_murik_8 [283]

The inverse of the given function is y = √5x + 7/2 - 3

<h3>Inverse of a function</h3>

Given the function expressed below;

5y + 4 = (x+3)² +1/2

5y = (x+3)² - 7/2

y = 1/5(x+3)² - 7/10

Replace y as x

x = 1/5(y+3)² - 7/10

Make y the subject of the formula

5x = (y+3)²- 7/2

(y+3)² = 5x + 7/2

y+3 = √5x + 7/2

y = √5x + 7/2 - 3

Hence the inverse of the given function is y = √5x + 7/2 - 3

learn more on inverse of a function here: brainly.com/question/3831584

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4 0

2 years ago

Explain how negative powers of 10 can be helpful when writing and comparing small numbers

Luba_88 [7]

Answer:

See explanation

Step-by-step explanation:

Powers of 10 is a very useful way of writing down large or small numbers.

Instead of having lots of zeros, you show how many powers of 10 will make that many zeros.

When you work with small numbers, you should use the negative powers of 10. Just remember for negative powers of 10, move the decimal point to the left. For example,

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When comparing small numbers, write these numbers in scientific notation (only one non-xero digit must be before point) and then

if the powers of 10 are the same in compared numbers are the same, just compare the numbers which are multiplied by these powers of 10. For example, $3.6\times 10^{-6}>2.6\times 10{-6},$ because powers are the same (-6) and $3.6>2.6$
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